516755000800 has 72 divisors (see below), whose sum is σ = 1261757586096. Its totient is φ = 206664407040.

The previous prime is 516755000791. The next prime is 516755000833. The reversal of 516755000800 is 8000557615.

It is a self number, because there is not a number n which added to its sum of digits gives 516755000800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4570552 + ... + 4682248.

It is an arithmetic number, because the mean of its divisors is an integer number (17524410918).

Almost surely, 2^516755000800 is an apocalyptic number.

516755000800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516755000800 is an abundant number, since it is smaller than the sum of its proper divisors (745002585296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516755000800 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (516755000799) it forms an eRAP, since the sums of their prime factors are consecutive (117499 and 117500).

516755000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117500 (or 117487 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 37.

The spelling of 516755000800 in words is "five hundred sixteen billion, seven hundred fifty-five million, eight hundred", and thus it is an aban number.